The phrase "a thin advantage" is correct and usable in written English.
It can be used to describe a slight or minimal benefit in a competitive situation.
Example: "Despite the team's hard work, they only managed to secure a thin advantage over their rivals in the final minutes of the game."
Alternatives: "a slight edge" or "a narrow benefit".
Another goal by Toronto FC would leave Chivas having to score two on account of the away goals rule, a goal from Chivas would provide the Liga MX with a gossamer thin advantage.
With such a razor-thin advantage, Ms. Gillard cannot afford to have a single member of Parliament, including herself, absent for any major vote.
A month ago, when it was the Obama campaign that seemed to be staggering a bit, the RealClearPolitics polling average gave the incumbent only a sliver-thin advantage over Romney.
Mika Hakkinen won the Luxembourg Grand Prix yesterday at Nurburgring, Germany, and headed for the final race of the season with a wafer-thin advantage over Michael Schumacher.
The current polling snapshot currently shows a clear path to a Republican majority, with GOP candidates holding whisker thin advantages in four states currently held by Democrats -- Iowa, Alaska, Colorado and Arkansas.
The agency had a peephole into Oswald's bedroom here, taking advantage of a thin wall between it and a neighboring apartment, where a watcher sat.
Using a reamer instead of the osteotomes for breaking the sinus floor has the advantage of creating a thin bone shell that prevents direct contact between the drill and the Schneiderian membrane [24].
When Mr. Romney criticized Mr. Obama for wanting to redistribute income, he was channeling Ronald Reagan, who quipped back in 1964: we "can't see a fat man standing beside a thin one without coming to the conclusion that the fat man got that way by taking advantage of the thin one".
